Select the correct answer.
Which combination of shapes could be used to model the piano will give the best estimate of its volume?
OA 3 cones and a pentagonal prism
OB. 3 cylinders and a rectangular prism
Oc 3 cylinders and a pentagonal prism
OD
3 cones and a rectangular prism

#1

Area

#2

Apply Pythagorean theorem

Area

#3

Area

Answer:

Formulas Used

[tex]\textsf{Area of a Trapezoid}=\dfrac{1}{2}(a+b)h[/tex]

where:

[tex]\textsf{Pythagoras' Theorem}: \quad a^2+b^2=c^2[/tex]

where:

[tex]\textsf{Area of a Kite}=\dfrac{1}{2}pq[/tex]

where:

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Question g (Trapezoid)

[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]

[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+14)5.5[/tex]

[tex]\textsf{Answer}: \quad A=55\:\: \sf in^2[/tex]

Question h (Trapezoid)

[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]

Find the missing side length of the right triangle using Pythagoras' Theorem:

[tex]\implies a=\sqrt{14^2-12^2}=\sqrt{52}[/tex]

Therefore, top edge of trapezoid = √52 + 8

[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(\sqrt{52}+8+8)12[/tex]

[tex]\textsf{Answer}: \quad A=96+12\sqrt{13}=139.3\:\: \sf yd^2\:(nearest\:tenth)[/tex]

Question i (Kite)

[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}pq[/tex]

[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+6)(3+9)[/tex]

[tex]\textsf{Answer}: \quad A=72\:\: \sf ft^2[/tex]

Answer: Ok

Step-by-step explanation:

Step-by-step explanation:

what are y'all doing so sad I can relate

Answer:

the answer is 56

Step-by-step explanation:

2x+3x+5=90

5x=90-5

5x=85

x=85/5

x=17

YVZ= 3(17)+5

YVZ=51+5

YVZ=56

Answer:

The inequality is

10+7x\leq 4010+7x≤40

Step-by-step explanation:

Let

x-----> the number of child tickets

we know that

10+7x\leq 4010+7x≤40 -----> inequality that represent the situation

Solve for x

7x\leq 40-107x≤40−10

7x\leq 307x≤30

x\leq 4.3x≤4.3

The maximum number of child tickets is 4

Answer:

2.25km

Step-by-step explanation:

Calculate the total distance:

9km/ 0.80 x 100% = 11.25km

The walker has travelled 9km, so

11.25km - 9km = 2.25km left

Answer:D.6

Step-by-step explanation:

just divide

Answer:

y=1/2x-2

Step-by-step explanation:

4x - 8y = 16

-8y = 16-4x

y=-2+ 1/2x

y=1/2x-2

mark brainliest pls

Answer:

3x - 9

Step-by-step explanation:

We already have the expression 4x + 2x − 3x − 9. Now, we just have to add like-terms. This will give us 3x - 9.

Step-by-step explanation:

2x(2)+2x(1)-3(x)-3(3)

4x+2x- 3x-9

since they are of same like terms we add them

=3x - 9

The number of the pages in the book if the first page will be numbered as 1 will be 1099 pages. And if the number of the pages is n then the function is shown below.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

In numbering pages of a book, a printer used 3289 digits.

Then the number of the pages in the book if the first page will be numbered as 1.

One digit number = 1 - 9 = 9 digits

Two digit number = 10 - 99 = 2 x 90 = 180 digits

Three digit number = 100 - 999 = 3 x 900 = 2700 digits

Then the total number of the digit is used will be

→ 9 + 180 + 2700

→ 2889

The number of the remaining digits will be

→ 3289 - 2889

→ 400

Then the four-digit number will be

→ 400/4

→ 100

Then the total number of the pages will be

Total pages = 9 + 90 + 900 + 100

Total pages = 1099

If n pages are there, then the number of the digits are required will be

[tex]\left\{\begin{matrix}n, & 1\leq n\leq 9 \\9+(n-9)2, & 10\leq n\leq 99 \\189+(n-9)3, & 100\leq n\leq 999 \\. & . \\. & . \\\end{matrix}\right.[/tex]

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Answer:

112

Step-by-step explanation:

672/6 = 112

Answer:

112

Step-by-step explanation:

672 divided by 6 is 112. There are 112 eggs in each box.

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

The inverse function is:

[tex]g(x) = 27*x^3 - 4[/tex]

And g(2) = 212.

We need to find g(x) such that:

g(h(x)) = x.

We know that:

[tex]h(x) = \frac{\sqrt[3]{x + 4} }{3}[/tex]

Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:

[tex]g(x) = 27*x^3 - 4[/tex]

As you can see, if you evaluate in h(x), the outcome is x.

Now we can evaluate this in x = 2, we get:

[tex]g(2) = 27*2^3 - 4 = 212[/tex]

The correct option is C.

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Answer:

12.5

Step-by-step explanation:

It is equal to the slope of the line = 50/4 = 12.5

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].

You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high.  We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.

We then plug in the values and solve

[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]

[tex]A = \frac{1}{2}*56\ units^2[/tex]

[tex]A = 28\ units^2[/tex]

Therefore, the area of our triangle is [tex]28\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

Ratio is the proportion between two numbers.

Percent is the ratio times 100.

Rate is the change of a number per unit time.

Step-by-step explanation:

1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.

2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.

3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.

4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.

5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.

Hope it helped ! Have a nice day

Answer:

your answer is 9

Step-by-step explanation:

3+3/4+5+1/4

3+5=8

3/4+1/4=4/4

4/4=1/1

1/1=1

8+1=9

9 miles

The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.

The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.

The given equation to polar form is;

[tex]\rm x^2+y^2=64[/tex]

Using the formulae that link Cartesian to Polar coordinates.

x = rcosθ and y = rsinθ

Substitute these values into the equation.

[tex]\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8[/tex]

Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

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Answer:

[tex]2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{24} -5\sqrt{12} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=\sqrt{4\times 6} -5\sqrt{4\times 3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=\sqrt{4} \times \sqrt{6} -5\times\sqrt{4} \times \sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -5\times2\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -10\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]

Answer:

[tex] \boxed{ \tt 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} }[/tex]

or

[tex] \boxed{ \tt \approx - 12.1}[/tex]

Step-by-step explanation:

Simplify:

[tex] = \tt \sqrt{ {2}^{2} \times 6} −5 \sqrt{12} +4√2−3√3[/tex]

[tex] = \tt \: 2 \sqrt{6} - 5 \sqrt{12} + 4 \sqrt{2 } - 3 \sqrt{3} [/tex]

[tex] = \tt2 \sqrt{6} - \sqrt{ {2}^{2} \times 3} + 4 \sqrt{2} - 3 \sqrt{3} [/tex]

[tex] = \tt \: 2√6−5(2√3)+4√2−3√3[/tex]

[tex] \tt = 2√6−10√3+4√2−3√3[/tex]

[tex] \tt = 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} [/tex]

[tex] \tt \approx \: - 12.1[/tex]

[tex] \rule{225pt}{2pt}[/tex]

Answer:

1 and 1/5 is the answer to this problem

Answer: The second option, 1/3, 0.33, 33%

Step-by-step explanation:

    We will put the number of wanted outcomes over the number of total outcomes. 1 and 6 is two wanted outcomes.

2 / 6 = 1/3

     Now, 1/3 is equal to 0.33. A decimal multiplied by 100 is a percent, so it is also equal to 33%. Your answer is:

         1/3, 0.33, 33%

Answer:

3/16

Step-by-step explanation:

you do length x width x height, and get 3/16

Answer:

The solution to a system of equations means the point must work. In both equations in the system, if you are asked if a point is a solution to an equation, you replace the variables with the given values and see if the two sides of the equation is equal "so is a solution"

Answer:

8a - 6b

You have to substitute in you other numbers:

a = 4 and b = 3

Your new equation would be:

8(4) - 6(3)

Now solve:

8 x 4 = 32

6 x 3 = 18

New problem:

32 - 18

= 14

So your answer is 14.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

Using conditional probability, it is found that the correct option regarding whether the events are independent is given by:

A. No, they are not independent because P(student) = 0.80 and P(student|Viking) =0.94.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

An event B is classified as independent if:

P(B|A) = P(B).

In this problem, 100 out of the 125 people sampled are students, hence the probability is given by:

P(student) = 100/125 = 0.8.

Out of the people that prefer to be a Viking, 80 out of 85 people are students, hence:

P(student|Viking) = 80/85= 0.94.

The probabilities are different, hence the events are not independent, and option A is correct.

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Answers in bold:

=======================================================

Explanation:

I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.

The tool I used is GeoGebra and the regression equation it produced was

y = 1.2x - 21.3

Each decimal value is approximate and rounded to the nearest tenth.

---------------------------

Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.

y = 1.2x - 21.3

y = 1.2*45 - 21.3

y = 32.7

y = 33

If a student got a 45 on a homework, then we predict their test grade should be around 33.

The speed to his sister house is 50mph.

The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Here, let the speed of his sisters house be x mph.

then, 3x = 2.5(x+10)

         3x = 2.5x + 25

        3x - 2.5x = 25

        0.5x = 25

          x = 25 / 0.5

         x = 50

Thus, The speed to his sister house is 50mph.

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Answer:

closer to 8000 than it is to 7000

Answer:

Hope this helps :)

7,614 is closer to 8,000 than it is to 7,000

This is because if the number has the hundreds place with 500 or more than it would be round up. If it's less than 500 than round down.

Also 7,614 rounded to the nearest thousand is 8,000 because the 6 in the hundreds place is more than 5 so we round up in the thousands place. The final answer would be 8,000.

If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.

If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.

Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have

4x – 2z = A

x + y + z = 15

If A = -2 and x = 3, then we have

4 × 3 – 2z = -2

      12 + 2 = 2z

              z = 7

Then the value of y will be

3 + y + 7 = 15

           y = 5

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